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Isosceles Triangle Theorem
In geometry, the statement that the angles opposite the equal sides of an isosceles triangle are themselves equal is known as the ''pons asinorum'' (, ), typically translated as "bridge of asses". This statement is Proposition 5 of Book 1 in Euclid's '' Elements'', and is also known as the isosceles triangle theorem. Its converse is also true: if two angles of a triangle are equal, then the sides opposite them are also equal. The term is also applied to the Pythagorean theorem. ''Pons asinorum'' is also used metaphorically for a problem or challenge which acts as a test of critical thinking, referring to the "ass' bridge's" ability to separate capable and incapable reasoners. Its first known usage in this context was in 1645. A persistent piece of mathematical folklore claims that an artificial intelligence program discovered an original and more elegant proof of this theorem. In fact, Marvin Minsky recounts that he had rediscovered the Pappus proof (which he was not aware ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Byrne Preface-15
' Byrne (also O'Byrne) is an Irish surname. It is derived from the Goidelic languages, Gaelic ''Ó Broin'' or ''Ó Beirn''. There are two Irish surnames which have Byrne as their English spelling; the most common comes from Ó Broin, which refers to the Leinster-based family of Bran as described below. The less common family name is Ó Beirn or Ó Beirne, which comes from a different family and is most commonly found in the Northwest of Ireland. The most prominents Byrnes were the O'Byrne family of Leinster. List of people surnamed Byrne or O'Byrne A–D *Alan Byrne (other), several people *Alexandra Byrne, British costume designer *Alfie Byrne, Lord Mayor of Dublin and TD *Allie Byrne, British actress *Andrew Byrne, first Catholic Bishop of Little Rock *Andrew Hozier-Byrne, better known under his stage name Hozier (musician), Hozier (born 1990), Irish singer and songwriter *Anthony Byrne (other), several people *Bill Byrne (other), several people *Bil ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
